A dog shelter is giving away 18 different dogs, but you have room for only 4 of them.
How many different dog families could you create?

Answers

Answer 1

Answer:

..2

Step-by-step explanation:

Answer 2

The number of different dog families that you can create will be 3060.

What are permutation and combination?

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A canine sanctuary is offering 18 unique canines, yet you have space for just 4 of them.

Then the number of different dog families that you can create is given as,

¹⁸C₄ = (18!) / [(18 - 4)! x 4!]

¹⁸C₄ = (18 x 17 x 16 x 15 x 14!) / (14! x 4 x 3 x 2 x 1)

¹⁸C₄ = 6 x 17 x 2 x 15

¹⁸C₄ = 3060

The number of different dog families that you can create will be 3060.

More about the permutation and the combination link is given below.

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Related Questions

Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)

Answers

the slope is 6/-5

subtracting the y values gives you -2-(-8)=6

subtracting the x values gives you -1-4= -5

Given:-

Two points (4,-8) and (-1,-2) .

To find :-

The slope of the line through these points .

Solution :-

As we know that the slope is ,

[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]

Substitute the values ,

[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)

[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1

[tex]\longrightarrow[/tex] Slope = 6/5

Hence the slope of the line is 6/5 .

PLZ answer correctly! Brainliest!

Answers

Answer:

[tex]A=\left(-1\dfrac{5}{5}\right)=(-2)\\\\B=\left(-\dfrac{4}{5}\right)\\\\C=\left(\dfrac{3}{5}\right)[/tex]

Step-by-step explanation:

Look at the picture.

[tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex]

HELP!!

Name the property below

(2+7) +3= 2+(7+3)

A. associative
B. Commutative

Answers

Associative property!
The property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends!
Hope this helps!

what is c3 - 1 when c = 4

Answers

The answer to your question is 11.
4x3=12-1=11
You just have to substitute
c3-1
4*3-1
12-1
=11

Writing
Tammy bought some books. She spent a total of $45 after a discount of S6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
X
5
o 16+ = 0
(b) Solve the equation in part (a) to find the number of books.
b = 0

Answers

Answer:

b=17

Step-by-step explanation:

b=(45+6)/3

b=51/3

b=17

she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.

Find the slope of the line that goes through the points (-4,4) and (4,6)

Answers

Answer:

1/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-4)/(4-(-4))

m=2/(4+4)

m=2/8

m=1/4

HELPME IM IN MATH AND NEED HELPP

Answers

Answer:

9

Step-by-step explanation:

An 80 ounce bottle of apple juice contains 32 ounces of water and 64 ounce bottle of orange juice has 48 ounces of water which juice has a greater percent of water?

Answers

The 64 ounce bottle of orange juice would have the greater percentage of water (75%) while the bottle of apple juice has only 40%

Does 28/4 have a remainder

Answers

No but it equals to 7 :)

Remainder=0

Quotient=7

Thanks!!

HELP PLEASE!! WILL GIVE BRAINLIEST TO CORRECT QNSWER.

Use the quadratic formula to find the solution to the quadratic equation given below.

x²-x+¼=0​

Answers

X = 1/2 =0.500

Mark as brainliest

find the mean of 100​

Answers

Answer:

100.

Step-by-step explanation:

100 + 0 = 100

100 ÷ 1 = 100

The answer is 100 explanation=

7 1/2 divided by 2 5/8 in simplest form

Answers

Answer:

[tex]2\frac{6}{7}[/tex]

Step-by-step explanation:

First you have to convert the mixed numbers to an improper fraction which first let's do the top so that would be: [tex]\frac{\frac{15}{2}}{2\frac{5}{8}}[/tex]

Next, lets do the bottom of that so that would become: [tex]\frac{\frac{15}{2}}{\frac{21}{8}}[/tex]

After that you have to apply the fraction rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex] so that would be: [tex]\frac{15\cdot \:8}{2\cdot \:21}[/tex]

Towards the end, you have to cancel out that equation so then it becomes: [tex]\frac{20}{7}[/tex]

Finally, you convert the improper fractions to mixed numbers so that is now: [tex]2\frac{6}{7}[/tex]

Have a great day!

After divide, the value in simplest form is, 20/7.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

⇒ 7 1/2 divided by 2 5/8

Now, Divide the numbers as;

⇒ 7 1/2 divided by 2 5/8

⇒ 15/2 ÷ 21/8

⇒ 15/2 × 8 / 21

⇒ 15×8 / 2×21

⇒ 5×4/7

⇒ 20 / 7

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Simplify |x| - |-x|.

Answers

Answer:

0

Step-by-step explanation:

Two cases: if [tex]x\ge0[/tex]

[tex]|x| - |-x| = x - x= 0[/tex]

Instead if [tex]x<0[/tex]

[tex]|x| -|-x| = -x -(-x)=-x+x=0[/tex]

Alternatively you can try to graph both [tex]f(x) = |x|; g(x)=|-x|[/tex] and checking the vertical distance between the two graphs

Tessa feeds her dog,Roscoe 3 3/4 cups of dog food per day.if she buys a bag of food that contains 165 cups, how many days will the bag last?

Answers

44 days 165 ÷ 3 3/4 = 44

Find the slope of the line that passes through the given points. (4, - 3) and (9. - 7) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The slope is (Type an integer or a simplified fraction.) O B. The slope is undefined.​

Answers

Answer:

-4/5

Step-by-step explanation:

Answer: A. -4/5

Step-by-step explanation:

Slope Formula: y2 - y1 / x2 - x1

-7 - (-3) = -4

9 - 4 = 5

slope = -4/5

Correct me if I am incorrect.

Which table of values represents possible solutions to
the equation y = 0.7x - 4.3?
х
49
у
30
X y
49 40
19 19
-11-12
-31-16
19 19
-11-12
-31 -26
B
Х
у
30
49
19 9
-11-12
-31 -26
Х
у
49 40
19 19
-11 -2.
-31 -16
D

Answers

Step-by-step explanation:

it will be c as shown in the photo

Can someone help I will mark u brilliant

Answers

Answer:

A probability cannot be more than 100%

I been on this for days and no one can give me a right answer ​

Answers

Answer:

2x²=6x-5= x=3+i/2

-x²-10x=34= x = -(5+3i)

Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers

The sum of a number times 7 and 15 is at least -19

Answers

Answer:

x(7+15) [tex]\leq[/tex] -19

Step-by-step explanation:

Okie help help math math math math

Answers

Answer: 33

Step-by-step explanation: In the problem, you are given the figure with the following:

2x+3 and 3x+12

Method: Lets set this into an equation. Remember that straight lines add up to 180°.

2x+3+3x+12=180°    Combine like terms.

5x+15=180°

5x=165°

x=33°

You can always plug in 33° in the expression that was set to make sure it does give you 180°.

Hope this helps.

Answer:

33

Step-by-step explanation:

Slove the followings.


1. Use your calculator to work out the weight of rubbish in each category.
2. A household produces 1.2 t of rubbish in a year. How many adults live in the house?
3. a. How much rubbish would an adult produce in a year if he recycled the glass, paper, and card?
b. What if he also had a compost heap at foot of his garden for vegetable and decomposable material?​

Answers

2. The number of adults who live in the house is 3 (1,200/400).

3.a. If an adult recycled the glass, paper, and card that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.

b. If the adult, in addition, had a composite for vegetable and decomposable material, he will generate 152 kg (400 kg x (1 - 62%).

Data and Calculations:

1 ton = 1,000 kg

Weight of rubbish produced by an adult per year = 400 kg

Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)

Percentage of Vegetable and decomposable material = 20%

Percentage of glass, paper, and card = 42% (33% + 9%)

Learn more: https://brainly.com/question/14954924

An online survey asked a sample of high school students their favorite type of music, and the results were tabulated above. Find the probability that a person chosen at random did not choose pop music, given that the student is a sophomore or a junior.

Answers

Answer:

87/103

Step-by-step explanation:

Write the equation for the axis of symmetry for the
follow absolute value graph:

Answers

Answer:

The equation for the axis of symmetry is x=3

Step-by-step explanation:

Because the vertex is (-2,3) then the axis of symmetry must pass that point.

Simplify.

57.8 – 4.07

Answers

Answer:

53.73

Step-by-step explanation:

ершрфшгцр
мкфуерцнокеупауйвЫЫМ ВНОРЕФУфцвыА ЕЬГАЕ7ГАТАСО ПНМСВЧСЧМ

Answers

Answer:

Step-by-step explanation:

I dont know

Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?

Answers

Answer:

4 dollars and 80 cents

Step-by-step explanation:

24 times 20 is 480 but its money so u would say $4.80.

How ur wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at the end of one year, including the interest?

Answers

The amount Howie need to pay back at the end of one year, including the interest is $26,000

Given:

Interest rate = 4%

Cost of car = $25,000

Time = 1 year

Amount of interest = Principal × Rate × Time

= 25,000 × 4% × 1

= 25,000 × 0.04 × 1

= $1,000

Amount to be paid = Amount of interest + Cost of car

= 1,000 + 25,000

= $26,000

Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000

Learn more about interest rate:

https://brainly.com/question/1115815

The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

What is simple interest?

Simple interest is a finance charge that does not compound.  It is calculated on the principal portion of a loan only.

The formula for computing simple interest is Principal x APR x Number of years.

Data and Calculations:

Car loan = $25,000

Simple interest rate = 4%

Period of loan = 1 year

Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).

Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

Learn more about simple interests at https://brainly.com/question/25793394

Which expression is equivalent to 5(x + 7)?​

Answers

Answer:

5x+35

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Which of the following fractions can be represented by a terminating decimal?
OA) 8/9
OB)13/8
OC)4/3
OD)6/11

Answers

Answer:

B) 13/8

Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

8/9 = 0.888888888888...9 (Incorrect)

B) 13/8

13/8 = 1.625 (Correct)

C) 4/3

4/3 = 1.3333333333...4 (Incorrect)

D) 6/11

6/11 = 0.545454545454...54 (Incorrect

13/8 is our answer because in decimal form it is a terminating decimal.

A bag contains three green marbels and eight white marbels. suppose in marble is randomly selected. what are the odds in favor of picking a white marble?

A. 8 to 3
B. 8 to 11
C. 3 to 8
D. 3 to 11

Answers

Answer:

A. 8 to 3

Step-by-step explanation:

since its in favor, the amnt of white marbles goes first.

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